Recovery teams in Texas are searching for dozens of missing people after a weekend of torrential rains and flooding that killed at least 15.

Thousands of residents have been displaced in Texas, where Governor Greg Abbott said Tuesday that some homes "have been completely wiped off of the map." More than 1,000 residences have been damaged or destroyed, and thousands of residents have been displaced.

Amanda Calaway pulls unbroken cups and bowls from the debris where a cabin was stripped from its foundation behind her in flood waters from the Blanco River days earlier, May 26, 2015, in Wimberley, Texas.

Across the border in Mexico, people were cleaning up in Ciudad Acuna after a tornado killed at least 13 people in the city. The twister also flattened hundreds of homes.

Mexican President Enrique Pena Nieto visited the town to survey the damage and help coordinate rescue efforts Tuesday.

In Texas, almost 10 inches (25 centimeters) of rain fell in parts of Houston from Monday into Tuesday. Many people were stranded overnight at a sports arena, and others were confined to their homes, waiting for floodwaters to subside.

Houston Mayor Annise Parker said, “It's still a dangerous situation along the bayous,” which were full of rushing water.

Abbott declared a state of emergency, authorizing “the use of all available resources of state government and of political subdivisions that are reasonably necessary to cope with this disaster.”

President Barack Obama called the flooding in Texas "terrible" and said he offered urgent assistance to Abbott.

The severe weather was spawned by a line of storms that stretched from the Gulf of Mexico north to the Great Lakes.

WATCH: Related video

Embed code

Copy and paste the embed code below. The code changes based on your selection.